Difference between revisions of "1992 OIM Problems/Problem 5"
(Created page with "== Problem == The circumference <math>C</math> and the positive numbers <math>h</math> and <math>m</math> are given so that there is a trapezoid <math>ABCD</math> inscribed in...") |
|||
Line 5: | Line 5: | ||
== Solution == | == Solution == | ||
+ | * Note. I actually competed at this event in Venezuela when I was in High School representing Puerto Rico. I'm proud to say that I got full points on this one and I solved it very quickly. I had a straight rule and compass kit which I used to solve it as we're supposed to build the trapezoid with it. Now, 3 decades later, I attempted this and spent a full 3 hours on it and couldn't solve it nor I remember what I did. I will attempt again some other time. | ||
{{solution}} | {{solution}} | ||
== See also == | == See also == | ||
https://www.oma.org.ar/enunciados/ibe7.htm | https://www.oma.org.ar/enunciados/ibe7.htm |
Revision as of 17:24, 14 December 2023
Problem
The circumference and the positive numbers and are given so that there is a trapezoid inscribed in , of height and in which the sum of the bases and is . Build the trapezoid .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
- Note. I actually competed at this event in Venezuela when I was in High School representing Puerto Rico. I'm proud to say that I got full points on this one and I solved it very quickly. I had a straight rule and compass kit which I used to solve it as we're supposed to build the trapezoid with it. Now, 3 decades later, I attempted this and spent a full 3 hours on it and couldn't solve it nor I remember what I did. I will attempt again some other time.
This problem needs a solution. If you have a solution for it, please help us out by adding it.